Lexus skateboards from his house to school 4 miles away. It takes him 20 minutes. Assume that Lexus skateboards at a constant rate.
Part A
Write an equation to represent the number of miles, m, that Lexus can skateboard in t minutes.

Step-by-step explanation:

Proportional Model

The number of miles m that Lexus can skateboard in t minutes can be modeled by:

m = kt

It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.

Substituting:

4 = k.20

Dividing by 20

Simplifying:

This produces the model

goog may have it for you

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0